Arihant Expert Team Solutions for Exercise 1: Practice Exercise

A cylindrical pillar is $50 cm$ in diameter and $3.5 m$ in height. Find the cost of painting the curved surface of the pillar at the rate of $₹10$ per $m^2$.

A hemispherical bowl has $3.5 cm$ radius. It is to be painted inside as well as outside. Find the cost of painting it at the rate of $Rs. 5$ per $10 sq cm$

A hollow cylindrical tube $20 cm$ long is made of iron and its external and internal diameters are $8 cm$ and $6 cm$, respectively. The volume of iron used in making the tube is: $\left[\mathrm{\pi }=\frac{22}{7}\right]$

A hollow iron pipe is $21 cm$ long and its exterior diameter is $8 cm$. If the thickness of the pipe is $1 cm$ and iron weights $8 g/c{m}^3$ then the weight of the pipe $\left(\pi =\frac{22}{7}\right)$ is:

A solid metal ball of diameter $16 cm$ is melted and cast into smaller balls, each of radius $1 cm$. The number of such balls is:

If base of a prism is a square of side $4 cm$. If the height of prism is $10 cm$, then what will be total surface area of that prism?

A triangular base pyramid has area $25 {\mathrm{cm}}^2$ and height $21 \mathrm{cm}$, then what is the volume of that pyramid?

The volume of a pyramid of base area $25 c{m}^2$ and height $12 cm$ is: